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Finding the Third Proportional to 139,071 and 299,107.50

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Solution

The third proportional to 139,071 and 299,107.50 is: 643,306.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,071 : 299,107.50 = 299,107.50 : x
  2. Step 2: Convert to fraction form
    139,071/299,107.50 = 299,107.50/x
  3. Step 3: Cross multiply
    139,071x = 299,107.50 × 299,107.50
  4. Step 4: Simplify right side
    139,071x = 89,465,296,556.25
  5. Step 5: Solve for x
    x = 89,465,296,556.25/139,071
  6. Step 6: Final answer
    x = 643,306.63

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.